Chaotification of Impulsive Systems

Akhmet, Marat
Fen, Mehmet Onur


Chaotification of Impulsive Systems by Perturbations
Fen, Mehmet Onur; Akhmet, Marat (World Scientific Pub Co Pte Lt, 2014-06-01)
In this paper, we present a new method for chaos generation in nonautonomous impulsive systems. We prove the presence of chaos in the sense of Li-Yorke by implementing chaotic perturbations. An impulsive Duffing oscillator is used to show the effectiveness of our technique, and simulations that support the theoretical results are depicted. Moreover, a procedure to stabilize the unstable periodic solutions is proposed.
Nonlinear viscous higher harmonics generation due to incident and reflecting internal wave beam collision
Aksu, Anil A. (2017-09-01)
In this paper, we have considered the non-linear effects arising due to the collision of incident and reflected internal wave beams. It has already been shown analytically [Tabaei et al., "Nonlinear effects in reflecting and colliding internal wave beams," J. Fluid Mech. 526, 217-243 (2005)] and numerically [Rodenborn et al., "Harmonic generation by reflecting internal waves," Phys. Fluids 23, 026601 (2011)] that the internal wave beam collision generates the higher harmonics and mean flow in a linear strat...
Soot and nanoparticle formation in laminar and turbulent flames
Commodo, M.; Violi, S.; D'Anna, A.; D'Alessio, A.; Allouis, Christophe Gerard; Beretta, F.; Minutolo, P. (2007-01-01)
A new optical diagnostic method has been developed based on the interaction of a pulsed UV laser source with combustion-generated aerosols. This method allows characterization of nanoparticles of organic carbon (NOC) and soot by point measurements. Fluorescence and incandescence measurements induced by the fifth harmonic of a Nd-YAG laser at 213 nm are used for the determination of the volume fractions of particulates in a laminar premixed flame and in a turbulent non-premixed flame of ethylene/air. The sel...
Streamwise oscillations of a cylinder beneath a free surface: Free surface effects on vortex formation modes
Bozkaya, Canan; Mironova, L. A.; Gubanov, O. I. (Elsevier BV, 2011-06-15)
A computational study of a viscous incompressible two-fluid model with an oscillating cylinder is investigated at a Reynolds number of 200 and at a dimensionless displacement amplitude of A = 0.13 and for the dimensionless forcing cylinder oscillation frequency-to-natural vortex shedding frequency ratios, f/f(0) = 1.5, 2.5, 3.5. Specifically, two-dimensional flow past a circular cylinder subject to forced in-line oscillations beneath a free surface is considered. The method is based on a finite volume discr...
Linear anisothermal theory for a viscoelastic multilayered cylinder.
Tuna, Osman Nuri; Department of Mechanical Engineering (1973)
Citation Formats
M. Akhmet and M. O. Fen, “Chaotification of Impulsive Systems,” REPLICATION OF CHAOS IN NEURAL NETWORKS, ECONOMICS AND PHYSICS, pp. 157–181, 2016, Accessed: 00, 2022. [Online]. Available: